Results 61 to 70 of about 73,865 (284)

Commutators and generators.

open access: yesMATHEMATICA SCANDINAVICA, 1988
Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
openaire   +4 more sources

Making Almost Commuting Matrices Commute [PDF]

open access: yesCommunications in Mathematical Physics, 2009
Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq δ$). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq ε$? A theorem of H. Lin shows that this is uniformly true, in that for every $ε>0$ there exists a $δ>0$, independent of the size $N$ of the matrices, for ...
openaire   +3 more sources

Results on Lie ideals of prime ringswith homoderivations

open access: yesExtracta Mathematicae, 2023
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying
A. Sarikaya, O. Gölbasi
doaj   +3 more sources

Skew-Commuting Toeplitz Operators and Dual Toeplitz Operators on Bergman Spaces

open access: yesMathematics
We study the skew-commutativity of Toeplitz operators and dual Toeplitz operators on the Bergman space of the unit disk. For bounded harmonic symbols, we characterize when two Toeplitz operators are skew-commuting. For general bounded measurable symbols,
Caochuan Ma, Tong Guan, Jianxiang Dong
doaj   +1 more source

Commutativity in the Algorithmic Lovász Local Lemma [PDF]

open access: yesIEEE Annual Symposium on Foundations of Computer Science, 2015
We consider the recent formulation of the Algorithmic Lovász Local Lemma [1], [2] for finding objects that avoid "bad features", or "flaws". It extends the Moser-Tardos resampling algorithm [3] to more general discrete spaces.
Vladimir Kolmogorov
semanticscholar   +1 more source

COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS

open access: yesTamkang Journal of Mathematics, 1995
Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
openaire   +3 more sources

On the commutativity of states in von Neumann algebras [PDF]

open access: yes, 2014
The notion of commutativity of two normal states on a von Neumann algebra was defined some time ago by means of the Pedersen-Takesaki theorem. In this note we aim at generalizing this notion to an arbitrary number of states, and obtaining some results on
Łuczak, Andrzej
core   +1 more source

Characterizing Lie Algebra Structure via the Commutativity Degree

open access: yesJournal of Mathematics
The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them.
Afsaneh Shamsaki   +2 more
doaj   +1 more source

SOME IDENTITIES INVOLVING ENDOMORPHISMS OF PRIME RINGS [PDF]

open access: yesJournal of Algebraic Systems
In this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to obtain good results.
Abdelkarim Boua
doaj   +1 more source

Shocks, superconvergence, and a stringy equivalence principle

open access: yesJournal of High Energy Physics, 2020
We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks ...
Murat Koloğlu   +3 more
doaj   +1 more source

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